Question

Which pair of functions represents a decomposition of f(g(x)) = | 2(x + 1)2 + (x + 1) | ? f(x) = (x + 1)2 and g(x) = | 2x + 1 | f(x) = (x + 1) and g(x) = | 2x2 + x | f(x) = | 2x + 1 | and g(x) = (x + 1)2 f(x) = | 2x2 + x | and g(x) = (x + 1)

Answer 1

D on edg

Explanation:

got it right

Answer 2

`f(x) = |2\cdot x^(2)+x|` and
`g(x) = x+1`

Explanation:

Let
`f \circ g\, (x) = |2\cdot (x+1)^(2)+(x+1)|`, a composition consist in replacing the variable of the first function (
`f(x)`) with the second function (
`g(x)`). By observation, it is quite evident that
`g(x) = x+1`, whereas
`f(x) = |2\cdot x^(2)+x|`.